31567 has 2 divisors, whose sum is σ = 31568. Its totient is φ = 31566.

The previous prime is 31547. The next prime is 31573. The reversal of 31567 is 76513.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31567 is a prime.

It is equal to p₃₃₉₇ and since 31567 and 3397 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15783 + 15784.

It is an arithmetic number, because the mean of its divisors is an integer number (15784).

2³¹⁵⁶⁷ is an apocalyptic number.

31567 is a deficient number, since it is larger than the sum of its proper divisors (1).

31567 is an equidigital number, since it uses as much as digits as its factorization.

31567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 22.

The square root of 31567 is about 177.6710443488. The cubic root of 31567 is about 31.6041734594.

The spelling of 31567 in words is "thirty-one thousand, five hundred sixty-seven".